The authors consider pseudodifferential operators whose symbols have decay at the infinity of quasi-homogeneous type and study their behavior on the wave front set of distributions in weighted Zygmund-Hölder spaces and weighted Sobolev spaces in Lp framework. Then microlocal properties for solutions to linear partial differential equations with coefficients in weighted Zygmund-Hölder spaces are obtained.
Lp- microlocal regularity for pseudodifferential operators of quasi homogeneous type
GARELLO, Gianluca;
2009-01-01
Abstract
The authors consider pseudodifferential operators whose symbols have decay at the infinity of quasi-homogeneous type and study their behavior on the wave front set of distributions in weighted Zygmund-Hölder spaces and weighted Sobolev spaces in Lp framework. Then microlocal properties for solutions to linear partial differential equations with coefficients in weighted Zygmund-Hölder spaces are obtained.
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